package com.tyme.util;

/**
 * 寿星天文历工具
 *
 * @author 6tail
 * @link http://www.nongli.net/sxwnl/
 */
public class ShouXingUtil {
  /**
   * 2π
   */
  public static final double PI_2 = 2 * Math.PI;
  public static final double ONE_THIRD = 1d / 3;
  /**
   * 1天对应的秒数
   */
  public static final int SECOND_PER_DAY = 86400;
  /**
   * 1弧度对应的角秒
   */
  public static final double SECOND_PER_RAD = 180 * 3600 / Math.PI;
  private static final double[] NUT_B = {
      2.1824, -33.75705, 36e-6, -1720, 920,
      3.5069, 1256.66393, 11e-6, -132, 57,
      1.3375, 16799.4182, -51e-6, -23, 10,
      4.3649, -67.5141, 72e-6, 21, -9,
      0.04, -628.302, 0, -14, 0,
      2.36, 8328.691, 0, 7, 0,
      3.46, 1884.966, 0, -5, 2,
      5.44, 16833.175, 0, -4, 2,
      3.69, 25128.110, 0, -3, 0,
      3.55, 628.362, 0, 2, 0
  };
  private static final double[] DT_AT = {
      -4000, 108371.7, -13036.80, 392.000, 0.0000,
      -500, 17201.0, -627.82, 16.170, -0.3413,
      -150, 12200.6, -346.41, 5.403, -0.1593,
      150, 9113.8, -328.13, -1.647, 0.0377,
      500, 5707.5, -391.41, 0.915, 0.3145,
      900, 2203.4, -283.45, 13.034, -0.1778,
      1300, 490.1, -57.35, 2.085, -0.0072,
      1600, 120.0, -9.81, -1.532, 0.1403,
      1700, 10.2, -0.91, 0.510, -0.0370,
      1800, 13.4, -0.72, 0.202, -0.0193,
      1830, 7.8, -1.81, 0.416, -0.0247,
      1860, 8.3, -0.13, -0.406, 0.0292,
      1880, -5.4, 0.32, -0.183, 0.0173,
      1900, -2.3, 2.06, 0.169, -0.0135,
      1920, 21.2, 1.69, -0.304, 0.0167,
      1940, 24.2, 1.22, -0.064, 0.0031,
      1960, 33.2, 0.51, 0.231, -0.0109,
      1980, 51.0, 1.29, -0.026, 0.0032,
      2000, 63.87, 0.1, 0, 0,
      2005, 64.7, 0.21, 0, 0,
      2012, 66.8, 0.22, 0, 0,
      2018, 69.0, 0.36, 0, 0,
      2028, 72.6
  };
  private static final double[] XL0 = {
      10000000000D,
      20, 578, 920, 1100, 1124, 1136, 1148, 1217, 1226, 1229, 1229, 1229, 1229, 1937, 2363, 2618, 2633, 2660, 2666,
      17534704567D, 0.00000000000, 0.00000000000, 334165646, 4.669256804, 6283.075849991, 3489428, 4.6261024,
      12566.1517000, 349706, 2.744118, 5753.384885, 341757, 2.828866, 3.523118, 313590, 3.627670, 77713.771468,
      267622, 4.418084, 7860.419392, 234269, 6.135162, 3930.209696, 132429, 0.742464, 11506.769770, 127317, 2.037097,
      529.690965, 119917, 1.109629, 1577.343542, 99025, 5.23268, 5884.92685, 90186, 2.04505, 26.29832, 85722, 3.50849,
      398.14900, 77979, 1.17883, 5223.69392, 75314, 2.53339, 5507.55324, 50526, 4.58293, 18849.22755, 49238, 4.20507,
      775.52261, 35666, 2.91954, 0.06731, 31709, 5.84902, 11790.62909, 28413, 1.89869, 796.29801, 27104, 0.31489,
      10977.07880, 24281, 0.34481, 5486.77784, 20616, 4.80647, 2544.31442, 20539, 1.86948, 5573.14280, 20226, 2.45768,
      6069.77675, 15552, 0.83306, 213.29910, 13221, 3.41118, 2942.46342, 12618, 1.08303, 20.77540, 11513, 0.64545,
      0.98032, 10285, 0.63600, 4694.00295, 10190, 0.97569, 15720.83878, 10172, 4.26680, 7.11355, 9921, 6.2099,
      2146.1654, 9761, 0.6810, 155.4204, 8580, 5.9832, 161000.6857, 8513, 1.2987, 6275.9623, 8471, 3.6708, 71430.6956,
      7964, 1.8079, 17260.1547, 7876, 3.0370, 12036.4607, 7465, 1.7551, 5088.6288, 7387, 3.5032, 3154.6871, 7355,
      4.6793, 801.8209, 6963, 0.8330, 9437.7629, 6245, 3.9776, 8827.3903, 6115, 1.8184, 7084.8968, 5696, 2.7843,
      6286.5990, 5612, 4.3869, 14143.4952, 5558, 3.4701, 6279.5527, 5199, 0.1891, 12139.5535, 5161, 1.3328, 1748.0164,
      5115, 0.2831, 5856.4777, 4900, 0.4874, 1194.4470, 4104, 5.3682, 8429.2413, 4094, 2.3985, 19651.0485, 3920,
      6.1683, 10447.3878, 3677, 6.0413, 10213.2855, 3660, 2.5696, 1059.3819, 3595, 1.7088, 2352.8662, 3557, 1.7760,
      6812.7668, 3329, 0.5931, 17789.8456, 3041, 0.4429, 83996.8473, 3005, 2.7398, 1349.8674, 2535, 3.1647, 4690.4798,
      2474, 0.2148, 3.5904, 2366, 0.4847, 8031.0923, 2357, 2.0653, 3340.6124, 2282, 5.2220, 4705.7323, 2189, 5.5559,
      553.5694, 2142, 1.4256, 16730.4637, 2109, 4.1483, 951.7184, 2030, 0.3713, 283.8593, 1992, 5.2221, 12168.0027,
      1986, 5.7747, 6309.3742, 1912, 3.8222, 23581.2582, 1889, 5.3863, 149854.4001, 1790, 2.2149, 13367.9726, 1748,
      4.5605, 135.0651, 1622, 5.9884, 11769.8537, 1508, 4.1957, 6256.7775, 1442, 4.1932, 242.7286, 1435, 3.7236,
      38.0277, 1397, 4.4014, 6681.2249, 1362, 1.8893, 7632.9433, 1250, 1.1305, 5.5229, 1205, 2.6223, 955.5997, 1200,
      1.0035, 632.7837, 1129, 0.1774, 4164.3120, 1083, 0.3273, 103.0928, 1052, 0.9387, 11926.2544, 1050, 5.3591,
      1592.5960, 1033, 6.1998, 6438.4962, 1001, 6.0291, 5746.2713, 980, 0.999, 11371.705, 980, 5.244, 27511.468, 938,
      2.624, 5760.498, 923, 0.483, 522.577, 922, 4.571, 4292.331, 905, 5.337, 6386.169, 862, 4.165, 7058.598, 841,
      3.299, 7234.794, 836, 4.539, 25132.303, 813, 6.112, 4732.031, 812, 6.271, 426.598, 801, 5.821, 28.449, 787,
      0.996, 5643.179, 776, 2.957, 23013.540, 769, 3.121, 7238.676, 758, 3.974, 11499.656, 735, 4.386, 316.392, 731,
      0.607, 11513.883, 719, 3.998, 74.782, 706, 0.323, 263.084, 676, 5.911, 90955.552, 663, 3.665, 17298.182, 653,
      5.791, 18073.705, 630, 4.717, 6836.645, 615, 1.458, 233141.314, 612, 1.075, 19804.827, 596, 3.321, 6283.009,
      596, 2.876, 6283.143, 555, 2.452, 12352.853, 541, 5.392, 419.485, 531, 0.382, 31441.678, 519, 4.065, 6208.294,
      513, 2.361, 10973.556, 494, 5.737, 9917.697, 450, 3.272, 11015.106, 449, 3.653, 206.186, 447, 2.064, 7079.374,
      435, 4.423, 5216.580, 421, 1.906, 245.832, 413, 0.921, 3738.761, 402, 0.840, 20.355, 387, 1.826, 11856.219, 379,
      2.344, 3.881, 374, 2.954, 3128.389, 370, 5.031, 536.805, 365, 1.018, 16200.773, 365, 1.083, 88860.057, 352,
      5.978, 3894.182, 352, 2.056, 244287.600, 351, 3.713, 6290.189, 340, 1.106, 14712.317, 339, 0.978, 8635.942, 339,
      3.202, 5120.601, 333, 0.837, 6496.375, 325, 3.479, 6133.513, 316, 5.089, 21228.392, 316, 1.328, 10873.986, 309,
      3.646, 10.637, 303, 1.802, 35371.887, 296, 3.397, 9225.539, 288, 6.026, 154717.610, 281, 2.585, 14314.168, 262,
      3.856, 266.607, 262, 2.579, 22483.849, 257, 1.561, 23543.231, 255, 3.949, 1990.745, 251, 3.744, 10575.407, 240,
      1.161, 10984.192, 238, 0.106, 7.046, 236, 4.272, 6040.347, 234, 3.577, 10969.965, 211, 3.714, 65147.620, 210,
      0.754, 13521.751, 207, 4.228, 5650.292, 202, 0.814, 170.673, 201, 4.629, 6037.244, 200, 0.381, 6172.870, 199,
      3.933, 6206.810, 199, 5.197, 6262.300, 197, 1.046, 18209.330, 195, 1.070, 5230.807, 195, 4.869, 36.028, 194,
      4.313, 6244.943, 192, 1.229, 709.933, 192, 5.595, 6282.096, 192, 0.602, 6284.056, 189, 3.744, 23.878, 188,
      1.904, 15.252, 188, 0.867, 22003.915, 182, 3.681, 15110.466, 181, 0.491, 1.484, 179, 3.222, 39302.097, 179,
      1.259, 12559.038,
      62833196674749D, 0.000000000000, 0.000000000000, 20605886, 2.67823456, 6283.07584999, 430343, 2.635127,
      12566.151700, 42526, 1.59047, 3.52312, 11926, 5.79557, 26.29832, 10898, 2.96618, 1577.34354, 9348, 2.5921,
      18849.2275, 7212, 1.1385, 529.6910, 6777, 1.8747, 398.1490, 6733, 4.4092, 5507.5532, 5903, 2.8880, 5223.6939,
      5598, 2.1747, 155.4204, 4541, 0.3980, 796.2980, 3637, 0.4662, 775.5226, 2896, 2.6471, 7.1135, 2084, 5.3414,
      0.9803, 1910, 1.8463, 5486.7778, 1851, 4.9686, 213.2991, 1729, 2.9912, 6275.9623, 1623, 0.0322, 2544.3144, 1583,
      1.4305, 2146.1654, 1462, 1.2053, 10977.0788, 1246, 2.8343, 1748.0164, 1188, 3.2580, 5088.6288, 1181, 5.2738,
      1194.4470, 1151, 2.0750, 4694.0030, 1064, 0.7661, 553.5694, 997, 1.303, 6286.599, 972, 4.239, 1349.867, 945,
      2.700, 242.729, 858, 5.645, 951.718, 758, 5.301, 2352.866, 639, 2.650, 9437.763, 610, 4.666, 4690.480, 583,
      1.766, 1059.382, 531, 0.909, 3154.687, 522, 5.661, 71430.696, 520, 1.854, 801.821, 504, 1.425, 6438.496, 433,
      0.241, 6812.767, 426, 0.774, 10447.388, 413, 5.240, 7084.897, 374, 2.001, 8031.092, 356, 2.429, 14143.495, 350,
      4.800, 6279.553, 337, 0.888, 12036.461, 337, 3.862, 1592.596, 325, 3.400, 7632.943, 322, 0.616, 8429.241, 318,
      3.188, 4705.732, 297, 6.070, 4292.331, 295, 1.431, 5746.271, 290, 2.325, 20.355, 275, 0.935, 5760.498, 270,
      4.804, 7234.794, 253, 6.223, 6836.645, 228, 5.003, 17789.846, 225, 5.672, 11499.656, 215, 5.202, 11513.883, 208,
      3.955, 10213.286, 208, 2.268, 522.577, 206, 2.224, 5856.478, 206, 2.550, 25132.303, 203, 0.910, 6256.778, 189,
      0.532, 3340.612, 188, 4.735, 83996.847, 179, 1.474, 4164.312, 178, 3.025, 5.523, 177, 3.026, 5753.385, 159,
      4.637, 3.286, 157, 6.124, 5216.580, 155, 3.077, 6681.225, 154, 4.200, 13367.973, 143, 1.191, 3894.182, 138,
      3.093, 135.065, 136, 4.245, 426.598, 134, 5.765, 6040.347, 128, 3.085, 5643.179, 127, 2.092, 6290.189, 125,
      3.077, 11926.254, 125, 3.445, 536.805, 114, 3.244, 12168.003, 112, 2.318, 16730.464, 111, 3.901, 11506.770, 111,
      5.320, 23.878, 105, 3.750, 7860.419, 103, 2.447, 1990.745, 96, 0.82, 3.88, 96, 4.08, 6127.66, 91, 5.42, 206.19,
      91, 0.42, 7079.37, 88, 5.17, 11790.63, 81, 0.34, 9917.70, 80, 3.89, 10973.56, 78, 2.40, 1589.07, 78, 2.58,
      11371.70, 77, 3.98, 955.60, 77, 3.36, 36.03, 76, 1.30, 103.09, 75, 5.18, 10969.97, 75, 4.96, 6496.37, 73, 5.21,
      38.03, 72, 2.65, 6309.37, 70, 5.61, 3738.76, 69, 2.60, 3496.03, 69, 0.39, 15.25, 69, 2.78, 20.78, 65, 1.13,
      7058.60, 64, 4.28, 28.45, 61, 5.63, 10984.19, 60, 0.73, 419.48, 60, 5.28, 10575.41, 58, 5.55, 17298.18, 58,
      3.19, 4732.03,
      5291887, 0.0000000, 0.0000000, 871984, 1.072097, 6283.075850, 30913, 0.86729, 12566.15170, 2734, 0.0530, 3.5231,
      1633, 5.1883, 26.2983, 1575, 3.6846, 155.4204, 954, 0.757, 18849.228, 894, 2.057, 77713.771, 695, 0.827,
      775.523, 506, 4.663, 1577.344, 406, 1.031, 7.114, 381, 3.441, 5573.143, 346, 5.141, 796.298, 317, 6.053,
      5507.553, 302, 1.192, 242.729, 289, 6.117, 529.691, 271, 0.306, 398.149, 254, 2.280, 553.569, 237, 4.381,
      5223.694, 208, 3.754, 0.980, 168, 0.902, 951.718, 153, 5.759, 1349.867, 145, 4.364, 1748.016, 134, 3.721,
      1194.447, 125, 2.948, 6438.496, 122, 2.973, 2146.165, 110, 1.271, 161000.686, 104, 0.604, 3154.687, 100, 5.986,
      6286.599, 92, 4.80, 5088.63, 89, 5.23, 7084.90, 83, 3.31, 213.30, 76, 3.42, 5486.78, 71, 6.19, 4690.48, 68,
      3.43, 4694.00, 65, 1.60, 2544.31, 64, 1.98, 801.82, 61, 2.48, 10977.08, 50, 1.44, 6836.65, 49, 2.34, 1592.60,
      46, 1.31, 4292.33, 46, 3.81, 149854.40, 43, 0.04, 7234.79, 40, 4.94, 7632.94, 39, 1.57, 71430.70, 38, 3.17,
      6309.37, 35, 0.99, 6040.35, 35, 0.67, 1059.38, 31, 3.18, 2352.87, 31, 3.55, 8031.09, 30, 1.92, 10447.39, 30,
      2.52, 6127.66, 28, 4.42, 9437.76, 28, 2.71, 3894.18, 27, 0.67, 25132.30, 26, 5.27, 6812.77, 25, 0.55, 6279.55,
      23, 1.38, 4705.73, 22, 0.64, 6256.78, 20, 6.07, 640.88,
      28923, 5.84384, 6283.07585, 3496, 0.0000, 0.0000, 1682, 5.4877, 12566.1517, 296, 5.196, 155.420, 129, 4.722,
      3.523, 71, 5.30, 18849.23, 64, 5.97, 242.73, 40, 3.79, 553.57,
      11408, 3.14159, 0.00000, 772, 4.134, 6283.076, 77, 3.84, 12566.15, 42, 0.42, 155.42,
      88, 3.14, 0.00, 17, 2.77, 6283.08, 5, 2.01, 155.42, 3, 2.21, 12566.15,
      27962, 3.19870, 84334.66158, 10164, 5.42249, 5507.55324, 8045, 3.8801, 5223.6939, 4381, 3.7044, 2352.8662, 3193,
      4.0003, 1577.3435, 2272, 3.9847, 1047.7473, 1814, 4.9837, 6283.0758, 1639, 3.5646, 5856.4777, 1444, 3.7028,
      9437.7629, 1430, 3.4112, 10213.2855, 1125, 4.8282, 14143.4952, 1090, 2.0857, 6812.7668, 1037, 4.0566,
      71092.8814, 971, 3.473, 4694.003, 915, 1.142, 6620.890, 878, 4.440, 5753.385, 837, 4.993, 7084.897, 770, 5.554,
      167621.576, 719, 3.602, 529.691, 692, 4.326, 6275.962, 558, 4.410, 7860.419, 529, 2.484, 4705.732, 521, 6.250,
      18073.705,
      903, 3.897, 5507.553, 618, 1.730, 5223.694, 380, 5.244, 2352.866,
      166, 1.627, 84334.662,
      10001398880D, 0.00000000000, 0.00000000000, 167069963, 3.098463508, 6283.075849991, 1395602, 3.0552461,
      12566.1517000, 308372, 5.198467, 77713.771468, 162846, 1.173877, 5753.384885, 157557, 2.846852, 7860.419392,
      92480, 5.45292, 11506.76977, 54244, 4.56409, 3930.20970, 47211, 3.66100, 5884.92685, 34598, 0.96369, 5507.55324,
      32878, 5.89984, 5223.69392, 30678, 0.29867, 5573.14280, 24319, 4.27350, 11790.62909, 21183, 5.84715, 1577.34354,
      18575, 5.02194, 10977.07880, 17484, 3.01194, 18849.22755, 10984, 5.05511, 5486.77784, 9832, 0.8868, 6069.7768,
      8650, 5.6896, 15720.8388, 8583, 1.2708, 161000.6857, 6490, 0.2725, 17260.1547, 6292, 0.9218, 529.6910, 5706,
      2.0137, 83996.8473, 5574, 5.2416, 71430.6956, 4938, 3.2450, 2544.3144, 4696, 2.5781, 775.5226, 4466, 5.5372,
      9437.7629, 4252, 6.0111, 6275.9623, 3897, 5.3607, 4694.0030, 3825, 2.3926, 8827.3903, 3749, 0.8295, 19651.0485,
      3696, 4.9011, 12139.5535, 3566, 1.6747, 12036.4607, 3454, 1.8427, 2942.4634, 3319, 0.2437, 7084.8968, 3192,
      0.1837, 5088.6288, 3185, 1.7778, 398.1490, 2846, 1.2134, 6286.5990, 2779, 1.8993, 6279.5527, 2628, 4.5890,
      10447.3878, 2460, 3.7866, 8429.2413, 2393, 4.9960, 5856.4777, 2359, 0.2687, 796.2980, 2329, 2.8078, 14143.4952,
      2210, 1.9500, 3154.6871, 2035, 4.6527, 2146.1654, 1951, 5.3823, 2352.8662, 1883, 0.6731, 149854.4001, 1833,
      2.2535, 23581.2582, 1796, 0.1987, 6812.7668, 1731, 6.1520, 16730.4637, 1717, 4.4332, 10213.2855, 1619, 5.2316,
      17789.8456, 1381, 5.1896, 8031.0923, 1364, 3.6852, 4705.7323, 1314, 0.6529, 13367.9726, 1041, 4.3329,
      11769.8537, 1017, 1.5939, 4690.4798, 998, 4.201, 6309.374, 966, 3.676, 27511.468, 874, 6.064, 1748.016, 779,
      3.674, 12168.003, 771, 0.312, 7632.943, 756, 2.626, 6256.778, 746, 5.648, 11926.254, 693, 2.924, 6681.225, 680,
      1.423, 23013.540, 674, 0.563, 3340.612, 663, 5.661, 11371.705, 659, 3.136, 801.821, 648, 2.650, 19804.827, 615,
      3.029, 233141.314, 612, 5.134, 1194.447, 563, 4.341, 90955.552, 552, 2.091, 17298.182, 534, 5.100, 31441.678,
      531, 2.407, 11499.656, 523, 4.624, 6438.496, 513, 5.324, 11513.883, 477, 0.256, 11856.219, 461, 1.722, 7234.794,
      458, 3.766, 6386.169, 458, 4.466, 5746.271, 423, 1.055, 5760.498, 422, 1.557, 7238.676, 415, 2.599, 7058.598,
      401, 3.030, 1059.382, 397, 1.201, 1349.867, 379, 4.907, 4164.312, 360, 5.707, 5643.179, 352, 3.626, 244287.600,
      348, 0.761, 10973.556, 342, 3.001, 4292.331, 336, 4.546, 4732.031, 334, 3.138, 6836.645, 324, 4.164, 9917.697,
      316, 1.691, 11015.106, 307, 0.238, 35371.887, 298, 1.306, 6283.143, 298, 1.750, 6283.009, 293, 5.738, 16200.773,
      286, 5.928, 14712.317, 281, 3.515, 21228.392, 280, 5.663, 8635.942, 277, 0.513, 26.298, 268, 4.207, 18073.705,
      266, 0.900, 12352.853, 260, 2.962, 25132.303, 255, 2.477, 6208.294, 242, 2.800, 709.933, 231, 1.054, 22483.849,
      229, 1.070, 14314.168, 216, 1.314, 154717.610, 215, 6.038, 10873.986, 200, 0.561, 7079.374, 198, 2.614, 951.718,
      197, 4.369, 167283.762, 186, 2.861, 5216.580, 183, 1.660, 39302.097, 183, 5.912, 3738.761, 175, 2.145, 6290.189,
      173, 2.168, 10575.407, 171, 3.702, 1592.596, 171, 1.343, 3128.389, 164, 5.550, 6496.375, 164, 5.856, 10984.192,
      161, 1.998, 10969.965, 161, 1.909, 6133.513, 157, 4.955, 25158.602, 154, 6.216, 23543.231, 153, 5.357,
      13521.751, 150, 5.770, 18209.330, 150, 5.439, 155.420, 139, 1.778, 9225.539, 139, 1.626, 5120.601, 128, 2.460,
      13916.019, 123, 0.717, 143571.324, 122, 2.654, 88860.057, 121, 4.414, 3894.182, 121, 1.192, 3.523, 120, 4.030,
      553.569, 119, 1.513, 17654.781, 117, 3.117, 14945.316, 113, 2.698, 6040.347, 110, 3.085, 43232.307, 109, 0.998,
      955.600, 108, 2.939, 17256.632, 107, 5.285, 65147.620, 103, 0.139, 11712.955, 103, 5.850, 213.299, 102, 3.046,
      6037.244, 101, 2.842, 8662.240, 100, 3.626, 6262.300, 98, 2.36, 6206.81, 98, 5.11, 6172.87, 98, 2.00, 15110.47,
      97, 2.67, 5650.29, 97, 2.75, 6244.94, 96, 4.02, 6282.10, 96, 5.31, 6284.06, 92, 0.10, 29088.81, 85, 3.26,
      20426.57, 84, 2.60, 28766.92, 81, 3.58, 10177.26, 80, 5.81, 5230.81, 78, 2.53, 16496.36, 77, 4.06, 6127.66, 73,
      0.04, 5481.25, 72, 5.96, 12559.04, 72, 5.92, 4136.91, 71, 5.49, 22003.91, 70, 3.41, 7.11, 69, 0.62, 11403.68,
      69, 3.90, 1589.07, 69, 1.96, 12416.59, 69, 4.51, 426.60, 67, 1.61, 11087.29, 66, 4.50, 47162.52, 66, 5.08,
      283.86, 66, 4.32, 16858.48, 65, 1.04, 6062.66, 64, 1.59, 18319.54, 63, 5.70, 45892.73, 63, 4.60, 66567.49, 63,
      3.82, 13517.87, 62, 2.62, 11190.38, 61, 1.54, 33019.02, 60, 5.58, 10344.30, 60, 5.38, 316428.23, 60, 5.78,
      632.78, 59, 6.12, 9623.69, 57, 0.16, 17267.27, 57, 3.86, 6076.89, 57, 1.98, 7668.64, 56, 4.78, 20199.09, 55,
      4.56, 18875.53, 55, 3.51, 17253.04, 54, 3.07, 226858.24, 54, 4.83, 18422.63, 53, 5.02, 12132.44, 52, 3.63,
      5333.90, 52, 0.97, 155427.54, 51, 3.36, 20597.24, 50, 0.99, 11609.86, 50, 2.21, 1990.75, 48, 1.62, 12146.67, 48,
      1.17, 12569.67, 47, 4.62, 5436.99, 47, 1.81, 12562.63, 47, 0.59, 21954.16, 47, 0.76, 7342.46, 46, 0.27, 4590.91,
      46, 3.77, 156137.48, 45, 5.66, 10454.50, 44, 5.84, 3496.03, 43, 0.24, 17996.03, 41, 5.93, 51092.73, 41, 4.21,
      12592.45, 40, 5.14, 1551.05, 40, 5.28, 15671.08, 39, 3.69, 18052.93, 39, 4.94, 24356.78, 38, 2.72, 11933.37, 38,
      5.23, 7477.52, 38, 4.99, 9779.11, 37, 3.70, 9388.01, 37, 4.44, 4535.06, 36, 2.16, 28237.23, 36, 2.54, 242.73,
      36, 0.22, 5429.88, 35, 6.15, 19800.95, 35, 2.92, 36949.23, 34, 5.63, 2379.16, 34, 5.73, 16460.33, 34, 5.11,
      5849.36, 33, 6.19, 6268.85,
      10301861, 1.10748970, 6283.07584999, 172124, 1.064423, 12566.151700, 70222, 3.14159, 0.00000, 3235, 1.0217,
      18849.2275, 3080, 2.8435, 5507.5532, 2497, 1.3191, 5223.6939, 1849, 1.4243, 1577.3435, 1008, 5.9138, 10977.0788,
      865, 1.420, 6275.962, 863, 0.271, 5486.778, 507, 1.686, 5088.629, 499, 6.014, 6286.599, 467, 5.987, 529.691,
      440, 0.518, 4694.003, 410, 1.084, 9437.763, 387, 4.750, 2544.314, 375, 5.071, 796.298, 352, 0.023, 83996.847,
      344, 0.949, 71430.696, 341, 5.412, 775.523, 322, 6.156, 2146.165, 286, 5.484, 10447.388, 284, 3.420, 2352.866,
      255, 6.132, 6438.496, 252, 0.243, 398.149, 243, 3.092, 4690.480, 225, 3.689, 7084.897, 220, 4.952, 6812.767,
      219, 0.420, 8031.092, 209, 1.282, 1748.016, 193, 5.314, 8429.241, 185, 1.820, 7632.943, 175, 3.229, 6279.553,
      173, 1.537, 4705.732, 158, 4.097, 11499.656, 158, 5.539, 3154.687, 150, 3.633, 11513.883, 148, 3.222, 7234.794,
      147, 3.653, 1194.447, 144, 0.817, 14143.495, 135, 6.151, 5746.271, 134, 4.644, 6836.645, 128, 2.693, 1349.867,
      123, 5.650, 5760.498, 118, 2.577, 13367.973, 113, 3.357, 17789.846, 110, 4.497, 4292.331, 108, 5.828, 12036.461,
      102, 5.621, 6256.778, 99, 1.14, 1059.38, 98, 0.66, 5856.48, 93, 2.32, 10213.29, 92, 0.77, 16730.46, 88, 1.50,
      11926.25, 86, 1.42, 5753.38, 85, 0.66, 155.42, 81, 1.64, 6681.22, 80, 4.11, 951.72, 66, 4.55, 5216.58, 65, 0.98,
      25132.30, 64, 4.19, 6040.35, 64, 0.52, 6290.19, 63, 1.51, 5643.18, 59, 6.18, 4164.31, 57, 2.30, 10973.56, 55,
      2.32, 11506.77, 55, 2.20, 1592.60, 55, 5.27, 3340.61, 54, 5.54, 553.57, 53, 5.04, 9917.70, 53, 0.92, 11371.70,
      52, 3.98, 17298.18, 52, 3.60, 10969.97, 49, 5.91, 3894.18, 49, 2.51, 6127.66, 48, 1.67, 12168.00, 46, 0.31,
      801.82, 42, 3.70, 10575.41, 42, 4.05, 10984.19, 40, 2.17, 7860.42, 40, 4.17, 26.30, 38, 5.82, 7058.60, 37, 3.39,
      6496.37, 36, 1.08, 6309.37, 36, 5.34, 7079.37, 34, 3.62, 11790.63, 32, 0.32, 16200.77, 31, 4.24, 3738.76, 29,
      4.55, 11856.22, 29, 1.26, 8635.94, 27, 3.45, 5884.93, 26, 5.08, 10177.26, 26, 5.38, 21228.39, 24, 2.26,
      11712.96, 24, 1.05, 242.73, 24, 5.59, 6069.78, 23, 3.63, 6284.06, 23, 1.64, 4732.03, 22, 3.46, 213.30, 21, 1.05,
      3496.03, 21, 3.92, 13916.02, 21, 4.01, 5230.81, 20, 5.16, 12352.85, 20, 0.69, 1990.75, 19, 2.73, 6062.66, 19,
      5.01, 11015.11, 18, 6.04, 6283.01, 18, 2.85, 7238.68, 18, 5.60, 6283.14, 18, 5.16, 17253.04, 18, 2.54, 14314.17,
      17, 1.58, 7.11, 17, 0.98, 3930.21, 17, 4.75, 17267.27, 16, 2.19, 6076.89, 16, 2.19, 18073.70, 16, 6.12, 3.52,
      16, 4.61, 9623.69, 16, 3.40, 16496.36, 15, 0.19, 9779.11, 15, 5.30, 13517.87, 15, 4.26, 3128.39, 15, 0.81,
      709.93, 14, 0.50, 25158.60, 14, 4.38, 4136.91, 13, 0.98, 65147.62, 13, 3.31, 154717.61, 13, 2.11, 1589.07, 13,
      1.92, 22483.85, 12, 6.03, 9225.54, 12, 1.53, 12559.04, 12, 5.82, 6282.10, 12, 5.61, 5642.20, 12, 2.38,
      167283.76, 12, 0.39, 12132.44, 12, 3.98, 4686.89, 12, 5.81, 12569.67, 12, 0.56, 5849.36, 11, 0.45, 6172.87, 11,
      5.80, 16858.48, 11, 6.22, 12146.67, 11, 2.27, 5429.88,
      435939, 5.784551, 6283.075850, 12363, 5.57935, 12566.15170, 1234, 3.1416, 0.0000, 879, 3.628, 77713.771, 569,
      1.870, 5573.143, 330, 5.470, 18849.228, 147, 4.480, 5507.553, 110, 2.842, 161000.686, 101, 2.815, 5223.694, 85,
      3.11, 1577.34, 65, 5.47, 775.52, 61, 1.38, 6438.50, 50, 4.42, 6286.60, 47, 3.66, 7084.90, 46, 5.39, 149854.40,
      42, 0.90, 10977.08, 40, 3.20, 5088.63, 35, 1.81, 5486.78, 32, 5.35, 3154.69, 30, 3.52, 796.30, 29, 4.62,
      4690.48, 28, 1.84, 4694.00, 27, 3.14, 71430.70, 27, 6.17, 6836.65, 26, 1.42, 2146.17, 25, 2.81, 1748.02, 24,
      2.18, 155.42, 23, 4.76, 7234.79, 21, 3.38, 7632.94, 21, 0.22, 4705.73, 20, 4.22, 1349.87, 20, 2.01, 1194.45, 20,
      4.58, 529.69, 19, 1.59, 6309.37, 18, 5.70, 6040.35, 18, 6.03, 4292.33, 17, 2.90, 9437.76, 17, 2.00, 8031.09, 17,
      5.78, 83996.85, 16, 0.05, 2544.31, 15, 0.95, 6127.66, 14, 0.36, 10447.39, 14, 1.48, 2352.87, 13, 0.77, 553.57,
      13, 5.48, 951.72, 13, 5.27, 6279.55, 13, 3.76, 6812.77, 11, 5.41, 6256.78, 10, 0.68, 1592.60, 10, 4.95, 398.15,
      10, 1.15, 3894.18, 10, 5.20, 244287.60, 10, 1.94, 11856.22, 9, 5.39, 25132.30, 8, 6.18, 1059.38, 8, 0.69,
      8429.24, 8, 5.85, 242.73, 7, 5.26, 14143.50, 7, 0.52, 801.82, 6, 2.24, 8635.94, 6, 4.00, 13367.97, 6, 2.77,
      90955.55, 6, 5.17, 7058.60, 5, 1.46, 233141.31, 5, 4.13, 7860.42, 5, 3.91, 26.30, 5, 3.89, 12036.46, 5, 5.58,
      6290.19, 5, 5.54, 1990.75, 5, 0.83, 11506.77, 5, 6.22, 6681.22, 4, 5.26, 10575.41, 4, 1.91, 7477.52, 4, 0.43,
      10213.29, 4, 1.09, 709.93, 4, 5.09, 11015.11, 4, 4.22, 88860.06, 4, 3.57, 7079.37, 4, 1.98, 6284.06, 4, 3.93,
      10973.56, 4, 6.18, 9917.70, 4, 0.36, 10177.26, 4, 2.75, 3738.76, 4, 3.33, 5643.18, 4, 5.36, 25158.60,
      14459, 4.27319, 6283.07585, 673, 3.917, 12566.152, 77, 0.00, 0.00, 25, 3.73, 18849.23, 4, 2.80, 6286.60,
      386, 2.564, 6283.076, 31, 2.27, 12566.15, 5, 3.44, 5573.14, 2, 2.05, 18849.23, 1, 2.06, 77713.77, 1, 4.41,
      161000.69, 1, 3.82, 149854.40, 1, 4.08, 6127.66, 1, 5.26, 6438.50,
      9, 1.22, 6283.08, 1, 0.66, 12566.15
  };
  private static final double[][] XL1 = new double[][]{
      {22639.586, 0.78475822, 8328.691424623, 1.5229241, 25.0719, -0.123598, 4586.438, 0.1873974, 7214.06286536, -2.184756, -18.860, 0.08280, 2369.914, 2.5429520, 15542.75428998, -0.661832, 6.212, -0.04080, 769.026, 3.140313, 16657.38284925, 3.04585, 50.144, -0.2472, 666.418, 1.527671, 628.30195521, -0.02664, 0.062, -0.0054, 411.596, 4.826607, 16866.9323150, -1.28012, -1.07, -0.0059, 211.656, 4.115028, -1114.6285593, -3.70768, -43.93, 0.2064, 205.436, 0.230523, 6585.7609101, -2.15812, -18.92, 0.0882, 191.956, 4.898507, 23871.4457146, 0.86109, 31.28, -0.164, 164.729, 2.586078, 14914.4523348, -0.6352, 6.15, -0.035, 147.321, 5.45530, -7700.3894694, -1.5496, -25.01, 0.118, 124.988, 0.48608, 7771.3771450, -0.3309, 3.11, -0.020, 109.380, 3.88323, 8956.9933798, 1.4963, 25.13, -0.129, 55.177, 5.57033, -1324.1780250, 0.6183, 7.3, -0.035, 45.100, 0.89898, 25195.623740, 0.2428, 24.0, -0.129, 39.533, 3.81213, -8538.240890, 2.8030, 26.1, -0.118, 38.430, 4.30115, 22756.817155, -2.8466, -12.6, 0.042, 36.124, 5.49587, 24986.074274, 4.5688, 75.2, -0.371, 30.773, 1.94559, 14428.125731, -4.3695, -37.7, 0.166, 28.397, 3.28586, 7842.364821, -2.2114, -18.8, 0.077, 24.358, 5.64142, 16171.056245, -0.6885, 6.3, -0.046, 18.585, 4.41371, -557.314280, -1.8538, -22.0, 0.10, 17.954, 3.58454, 8399.679100, -0.3576, 3.2, -0.03, 14.530, 4.9416, 23243.143759, 0.888, 31.2, -0.16, 14.380, 0.9709, 32200.137139, 2.384, 56.4, -0.29, 14.251, 5.7641, -2.301200, 1.523, 25.1, -0.12, 13.899, 0.3735, 31085.508580, -1.324, 12.4, -0.08, 13.194, 1.7595, -9443.319984, -5.231, -69.0, 0.33, 9.679, 3.0997, -16029.080894, -3.072, -50.1, 0.24, 9.366, 0.3016, 24080.995180, -3.465, -19.9, 0.08, 8.606, 4.1582, -1742.930514, -3.681, -44.0, 0.21, 8.453, 2.8416, 16100.068570, 1.192, 28.2, -0.14, 8.050, 2.6292, 14286.150380, -0.609, 6.1, -0.03, 7.630, 6.2388, 17285.684804, 3.019, 50.2, -0.25, 7.447, 1.4845, 1256.603910, -0.053, 0.1, -0.01, 7.371, 0.2736, 5957.458955, -2.131, -19.0, 0.09, 7.063, 5.6715, 33.757047, -0.308, -3.6, 0.02, 6.383, 4.7843, 7004.513400, 2.141, 32.4, -0.16, 5.742, 2.6572, 32409.686605, -1.942, 5, -0.05, 4.374, 4.3443, 22128.51520, -2.820, -13, 0.05, 3.998, 3.2545, 33524.31516, 1.766, 49, -0.25, 3.210, 2.2443, 14985.44001, -2.516, -16, 0.06, 2.915, 1.7138, 24499.74767, 0.834, 31, -0.17, 2.732, 1.9887, 13799.82378, -4.343, -38, 0.17, 2.568, 5.4122, -7072.08751, -1.576, -25, 0.11, 2.521, 3.2427, 8470.66678, -2.238, -19, 0.07, 2.489, 4.0719, -486.32660, -3.734, -44, 0.20, 2.146, 5.6135, -1952.47998, 0.645, 7, -0.03, 1.978, 2.7291, 39414.20000, 0.199, 37, -0.21, 1.934, 1.5682, 33314.76570, 6.092, 100, -0.5, 1.871, 0.4166, 30457.20662, -1.297, 12, -0.1, 1.753, 2.0582, -8886.00570, -3.38, -47, 0.2, 1.437, 2.386, -695.87607, 0.59, 7, 0, 1.373, 3.026, -209.54947, 4.33, 51, -0.2, 1.262, 5.940, 16728.37052, 1.17, 28, -0.1, 1.224, 6.172, 6656.74859, -4.04, -41, 0.2, 1.187, 5.873, 6099.43431, -5.89, -63, 0.3, 1.177, 1.014, 31571.83518, 2.41, 56, -0.3, 1.162, 3.840, 9585.29534, 1.47, 25, -0.1, 1.143, 5.639, 8364.73984, -2.18, -19, 0.1, 1.078, 1.229, 70.98768, -1.88, -22, 0.1, 1.059, 3.326, 40528.82856, 3.91, 81, -0.4, 0.990, 5.013, 40738.37803, -0.42, 30, -0.2, 0.948, 5.687, -17772.01141, -6.75, -94, 0.5, 0.876, 0.298, -0.35232, 0, 0, 0, 0.822, 2.994, 393.02097, 0, 0, 0, 0.788, 1.836, 8326.39022, 3.05, 50, -0.2, 0.752, 4.985, 22614.84180, 0.91, 31, -0.2, 0.740, 2.875, 8330.99262, 0, 0, 0, 0.669, 0.744, -24357.77232, -4.60, -75, 0.4, 0.644, 1.314, 8393.12577, -2.18, -19, 0.1, 0.639, 5.888, 575.33849, 0, 0, 0, 0.635, 1.116, 23385.11911, -2.87, -13, 0, 0.584, 5.197, 24428.75999, 2.71, 53, -0.3, 0.583, 3.513, -9095.55517, 0.95, 4, 0, 0.572, 6.059, 29970.88002, -5.03, -32, 0.1, 0.565, 2.960, 0.32863, 1.52, 25, -0.1, 0.561, 4.001, -17981.56087, -2.43, -43, 0.2, 0.557, 0.529, 7143.07519, -0.30, 3, 0, 0.546, 2.311, 25614.37623, 4.54, 75, -0.4, 0.536, 4.229, 15752.30376, -4.99, -45, 0.2, 0.493, 3.316, -8294.9344, -1.83, -29, 0.1, 0.491, 1.744, 8362.4485, 1.21, 21, -0.1, 0.478, 1.803, -10071.6219, -5.20, -69, 0.3, 0.454, 0.857, 15333.2048, 3.66, 57, -0.3, 0.445, 2.071, 8311.7707, -2.18, -19, 0.1, 0.426, 0.345, 23452.6932, -3.44, -20, 0.1, 0.420, 4.941, 33733.8646, -2.56, -2, 0, 0.413, 1.642, 17495.2343, -1.31, -1, 0, 0.404, 1.458, 23314.1314, -0.99, 9, -0.1, 0.395, 2.132, 38299.5714, -3.51, -6, 0, 0.382, 2.700, 31781.3846, -1.92, 5, 0, 0.375, 4.827, 6376.2114, 2.17, 32, -0.2, 0.361, 3.867, 16833.1753, -0.97, 3, 0, 0.358, 5.044, 15056.4277, -4.40, -38, 0.2, 0.350, 5.157, -8257.7037, -3.40, -47, 0.2, 0.344, 4.233, 157.7344, 0, 0, 0, 0.340, 2.672, 13657.8484, -0.58, 6, 0, 0.329, 5.610, 41853.0066, 3.29, 74, -0.4, 0.325, 5.895, -39.8149, 0, 0, 0, 0.309, 4.387, 21500.2132, -2.79, -13, 0.1, 0.302, 1.278, 786.0419, 0, 0, 0, 0.302, 5.341, -24567.3218, -0.27, -24, 0.1, 0.301, 1.045, 5889.8848, -1.57, -12, 0, 0.294, 4.201, -2371.2325, -3.65, -44, 0.2, 0.293, 3.704, 21642.1886, -6.55, -57, 0.2, 0.290, 4.069, 32828.4391, 2.36, 56, -0.3, 0.289, 3.472, 31713.8105, -1.35, 12, 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0.01088, 2.545, 15542.7543, -0.66, 6, 0, 0.00835, 0.190, 7214.0629, -2.18, -19, 0.1, 0.00734, 4.855, 24499.7477, 0.83, 31, -0.2, 0.00686, 5.130, 13799.8238, -4.34, -38, 0.2, 0.00631, 0.930, -486.3266, -3.73, -44, 0, 0.00585, 0.699, 9585.2953, 1.5, 25, 0, 0.00566, 4.073, 8328.3391, 1.5, 25, 0, 0.00566, 0.638, 8329.0437, 1.5, 25, 0, 0.00539, 2.472, -1952.4800, 0.6, 7, 0, 0.00509, 2.88, -0.7113, 0, 0, 0, 0.00469, 3.56, 30457.2066, -1.3, 12, 0, 0.00387, 0.78, -0.3523, 0, 0, 0, 0.00378, 1.84, 22614.8418, 0.9, 31, 0, 0.00362, 5.53, -695.8761, 0.6, 7, 0, 0.00317, 2.80, 16728.3705, 1.2, 28, 0, 0.00303, 6.07, 157.7344, 0, 0, 0, 0.00300, 2.53, 33.7570, -0.3, -4, 0, 0.00295, 4.16, 31571.8352, 2.4, 56, 0, 0.00289, 5.98, 7211.7617, -0.7, 6, 0, 0.00285, 2.06, 15540.4531, 0.9, 31, 0, 0.00283, 2.65, 2.6298, 0, 0, 0, 0.00282, 6.17, 15545.0555, -2.2, -19, 0, 0.00278, 1.23, -39.8149, 0, 0, 0, 0.00272, 3.82, 7216.3641, -3.7, -44, 0, 0.00270, 4.37, 70.9877, -1.9, -22, 0, 0.00256, 5.81, 13657.8484, -0.6, 6, 0, 0.00244, 5.64, -0.2237, 1.5, 25, 0, 0.00240, 2.96, 8311.7707, -2.2, -19, 0, 0.00239, 0.87, -33.7814, 0.3, 4, 0, 0.00216, 2.31, 15.9995, -2.2, -19, 0, 0.00186, 3.46, 5329.1570, -2.1, -19, 0, 0.00169, 2.40, 24357.772, 4.6, 75, 0, 0.00161, 5.80, 8329.403, 1.5, 25, 0, 0.00161, 5.20, 8327.980, 1.5, 25, 0, 0.00160, 4.26, 23385.119, -2.9, -13, 0, 0.00156, 1.26, 550.755, 0, 0, 0, 0.00155, 1.25, 21500.213, -2.8, -13, 0, 0.00152, 0.60, -16.921, -3.7, -44, 0, 0.00150, 2.71, -79.630, 0, 0, 0, 0.00150, 5.29, 15.542, 0, 0, 0, 0.00148, 1.06, -2371.232, -3.7, -44, 0, 0.00141, 0.77, 8328.691, 1.5, 25, 0, 0.00141, 3.67, 7143.075, -0.3, 0, 0, 0.00138, 5.45, 25614.376, 4.5, 75, 0, 0.00129, 4.90, 23871.446, 0.9, 31, 0, 0.00126, 4.03, 141.975, -3.8, -44, 0, 0.00124, 6.01, 522.369, 0, 0, 0, 0.00120, 4.94, -10071.622, -5.2, -69, 0, 0.00118, 5.07, -15.419, -2.2, -19, 0, 0.00107, 3.49, 23452.693, -3.4, -20, 0, 0.00104, 4.78, 17495.234, -1.3, 0, 0, 0.00103, 1.44, -18.049, -2.2, -19, 0, 0.00102, 5.63, 15542.402, -0.7, 6, 0, 0.00102, 2.59, 15543.107, -0.7, 6, 0, 0.00100, 4.11, -6.559, -1.9, -22, 0, 0.00097, 0.08, 15400.779, 3.1, 50, 0, 0.00096, 5.84, 31781.385, -1.9, 5, 0, 0.00094, 1.08, 8328.363, 0, 0, 0, 0.00094, 2.46, 16799.358, -0.7, 6, 0, 0.00094, 1.69, 6376.211, 2.2, 32, 0, 0.00093, 3.64, 8329.020, 3.0, 50, 0, 0.00093, 2.65, 16655.082, 4.6, 75, 0, 0.00090, 1.90, 15056.428, -4.4, -38, 0, 0.00089, 1.59, 52.969, 0, 0, 0, 0.00088, 2.02, -8257.704, -3.4, -47, 0, 0.00088, 3.02, 7213.711, -2.2, -19, 0, 0.00087, 0.50, 7214.415, -2.2, -19, 0, 0.00087, 0.49, 16659.684, 1.5, 25, 0, 0.00082, 5.64, -4.931, 1.5, 25, 0, 0.00079, 5.17, 13171.522, -4.3, -38, 0, 0.00076, 3.60, 29828.905, -1.3, 12, 0, 0.00076, 4.08, 24567.322, 0.3, 24, 0, 0.00076, 4.58, 1884.906, -0.1, 0, 0, 0.00073, 0.33, 31713.811, -1.4, 12, 0, 0.00073, 0.93, 32828.439, 2.4, 56, 0, 0.00071, 5.91, 38785.898, 0.2, 37, 0, 0.00069, 2.20, 15613.742, -2.5, -16, 0, 0.00066, 3.87, 15.732, -2.5, -23, 0, 0.00066, 0.86, 25823.926, 0.2, 24, 0, 0.00065, 2.52, 8170.957, 1.5, 25, 0, 0.00063, 0.18, 8322.132, -0.3, 0, 0, 0.00060, 5.84, 8326.062, 1.5, 25, 0, 0.00060, 5.15, 8331.321, 1.5, 25, 0, 0.00060, 2.18, 8486.426, 1.5, 25, 0, 0.00058, 2.30, -1.731, -4, -44, 0, 0.00058, 5.43, 14357.138, -2, -16, 0, 0.00057, 3.09, 8294.910, 2, 29, 0, 0.00057, 4.67, -8362.473, -1, -21, 0, 0.00056, 4.15, 16833.151, -1, 0, 0, 0.00054, 1.93, 7056.329, -2, -19, 0, 0.00054, 5.27, 8315.574, -2, -19, 0, 0.00052, 5.6, 8311.418, -2, -19, 0, 0.00052, 2.7, -77.552, 0, 0, 0, 0.00051, 4.3, 7230.984, 2, 25, 0, 0.00050, 0.4, -0.508, 0, 0, 0, 0.00049, 5.4, 7211.433, -2, -19, 0, 0.00049, 4.4, 7216.693, -2, -19, 0, 0.00049, 4.3, 16864.631, 0, 24, 0, 0.00049, 2.2, 16869.234, -3, -26, 0, 0.00047, 6.1, 627.596, 0, 0, 0, 0.00047, 5.0, 12.619, 1, 7, 0, 0.00045, 4.9, -8815.018, -5, -69, 0, 0.00044, 1.6, 62.133, -2, -19, 0, 0.00042, 2.9, -13.118, -4, -44, 0, 0.00042, 4.1, -119.445, 0, 0, 0, 0.00041, 4.3, 22756.817, -3, -13, 0, 0.00041, 3.6, 8288.877, 2, 25, 0, 0.00040, 0.5, 6663.308, -2, -19, 0, 0.00040, 1.1, 8368.506, 2, 25, 0, 0.00039, 4.1, 6443.786, 2, 25, 0, 0.00039, 3.1, 16657.383, 3, 50, 0, 0.00038, 0.1, 16657.031, 3, 50, 0, 0.00038, 3.0, 16657.735, 3, 50, 0, 0.00038, 4.6, 23942.433, -1, 9, 0, 0.00037, 4.3, 15385.020, -1, 6, 0, 0.00037, 5.0, 548.678, 0, 0, 0, 0.00036, 1.8, 7213.352, -2, -19, 0, 0.00036, 1.7, 7214.774, -2, -19, 0, 0.00035, 1.1, 7777.936, 2, 25, 0, 0.00035, 1.6, -8.860, 0, 0, 0, 0.00035, 4.4, 23869.145, 2, 56, 0, 0.00035, 2.0, 6691.693, -2, -19, 0, 0.00034, 1.3, -1185.616, -2, -22, 0, 0.00034, 2.2, 23873.747, -1, 6, 0, 0.00033, 2.0, -235.287, 0, 0, 0, 0.00033, 3.1, 17913.987, 3, 50, 0, 0.00033, 1.0, 8351.233, -2, -19, 0},
      {0.004870, 4.6693, 628.30196, -0.027, 0, -0.01, 0.002280, 2.6746, -2.30120, 1.523, 25, -0.12, 0.001500, 3.372, 6585.76091, -2.16, -19, 0.1, 0.001200, 5.728, 14914.45233, -0.64, 6, 0, 0.001080, 3.969, 7700.38947, 1.55, 25, -0.1, 0.000800, 0.742, 8956.99338, 1.50, 25, -0.1, 0.000254, 6.002, 0.3286, 1.52, 25, -0.1, 0.000210, 0.144, 7842.3648, -2.21, -19, 0, 0.000180, 2.500, 16171.0562, -0.7, 6, 0, 0.000130, 0.44, 8399.6791, -0.4, 3, 0, 0.000126, 5.03, 8326.3902, 3.0, 50, 0, 0.000120, 5.77, 14286.1504, -0.6, 6, 0, 0.000118, 5.96, 8330.9926, 0, 0, 0, 0.000110, 1.80, 23243.1438, 0.9, 31, 0, 0.000110, 3.42, 5957.4590, -2.1, -19, 0, 0.000110, 4.63, 1256.6039, -0.1, 0, 0, 0.000099, 4.70, -0.7113, 0, 0, 0, 0.000070, 0.04, 16029.0809, 3.1, 50, 0, 0.000070, 5.14, 8328.3391, 1.5, 25, 0, 0.000070, 5.85, 8329.0437, 1.5, 25, 0, 0.000060, 1.02, -1742.9305, -3.7, -44, 0, 0.000060, 3.10, 17285.6848, 3.0, 50, 0, 0.000054, 5.69, -0.352, 0, 0, 0, 0.000043, 0.52, 15.542, 0, 0, 0, 0.000041, 2.03, 2.630, 0, 0, 0, 0.000040, 0.10, 8470.667, -2.2, -19, 0, 0.000040, 4.01, 7072.088, 1.6, 25, 0, 0.000036, 2.93, -8.860, -0.3, 0, 0, 0.000030, 1.20, 22128.515, -2.8, -13, 0, 0.000030, 2.54, 15542.754, -0.7, 6, 0, 0.000027, 4.43, 7211.762, -0.7, 6, 0, 0.000026, 0.51, 15540.453, 0.9, 31, 0, 0.000026, 1.44, 15545.055, -2.2, -19, 0, 0.000025, 5.37, 7216.364, -3.7, -44, 0},
      {0.00001200, 1.041, -2.3012, 1.52, 25, -0.1, 0.00000170, 0.31, -0.711, 0, 0, 0}
  };
  private static final double[] QI_KB = {
      1640650.479938, 15.21842500,
      1642476.703182, 15.21874996,
      1683430.515601, 15.218750011,
      1752157.640664, 15.218749978,
      1807675.003759, 15.218620279,
      1883627.765182, 15.218612292,
      1907369.128100, 15.218449176,
      1936603.140413, 15.218425000,
      1939145.524180, 15.218466998,
      1947180.798300, 15.218524844,
      1964362.041824, 15.218533526,
      1987372.340971, 15.218513908,
      1999653.819126, 15.218530782,
      2007445.469786, 15.218535181,
      2021324.917146, 15.218526248,
      2047257.232342, 15.218519654,
      2070282.898213, 15.218425000,
      2073204.872850, 15.218515221,
      2080144.500926, 15.218530782,
      2086703.688963, 15.218523776,
      2110033.182763, 15.218425000,
      2111190.300888, 15.218425000,
      2113731.271005, 15.218515671,
      2120670.840263, 15.218425000,
      2123973.309063, 15.218425000,
      2125068.997336, 15.218477932,
      2136026.312633, 15.218472436,
      2156099.495538, 15.218425000,
      2159021.324663, 15.218425000,
      2162308.575254, 15.218461742,
      2178485.706538, 15.218425000,
      2178759.662849, 15.218445786,
      2185334.020800, 15.218425000,
      2187525.481425, 15.218425000,
      2188621.191481, 15.218437494,
      2322147.76
  };
  private static final double[] SHUO_KB = {1457698.231017, 29.53067166, 1546082.512234, 29.53085106, 1640640.735300, 29.53060000, 1642472.151543, 29.53085439, 1683430.509300, 29.53086148, 1752148.041079, 29.53085097, 1807665.420323, 29.53059851, 1883618.114100, 29.53060000, 1907360.704700, 29.53060000, 1936596.224900, 29.53060000, 1939135.675300, 29.53060000, 1947168.00};
  private static final String QB = decode("FrcFs22AFsckF2tsDtFqEtF1posFdFgiFseFtmelpsEfhkF2anmelpFlF1ikrotcnEqEq2FfqmcDsrFor22FgFrcgDscFs22FgEeFtE2sfFs22sCoEsaF2tsD1FpeE2eFsssEciFsFnmelpFcFhkF2tcnEqEpFgkrotcnEqrEtFermcDsrE222FgBmcmr22DaEfnaF222sD1FpeForeF2tssEfiFpEoeFssD1iFstEqFppDgFstcnEqEpFg11FscnEqrAoAF2ClAEsDmDtCtBaDlAFbAEpAAAAAD2FgBiBqoBbnBaBoAAAAAAAEgDqAdBqAFrBaBoACdAAf1AACgAAAeBbCamDgEifAE2AABa1C1BgFdiAAACoCeE1ADiEifDaAEqAAFe1AcFbcAAAAAF1iFaAAACpACmFmAAAAAAAACrDaAAADG0");
  private static final String SB = decode("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");

  private static String decode(String s) {
    String o = "0000000000";
    String o2 = o + o;
    s = s.replace("J", "00");
    s = s.replace("I", "000");
    s = s.replace("H", "0000");
    s = s.replace("G", "00000");
    s = s.replace("t", "02");
    s = s.replace("s", "002");
    s = s.replace("r", "0002");
    s = s.replace("q", "00002");
    s = s.replace("p", "000002");
    s = s.replace("o", "0000002");
    s = s.replace("n", "00000002");
    s = s.replace("m", "000000002");
    s = s.replace("l", "0000000002");
    s = s.replace("k", "01");
    s = s.replace("j", "0101");
    s = s.replace("i", "001");
    s = s.replace("h", "001001");
    s = s.replace("g", "0001");
    s = s.replace("f", "00001");
    s = s.replace("e", "000001");
    s = s.replace("d", "0000001");
    s = s.replace("c", "00000001");
    s = s.replace("b", "000000001");
    s = s.replace("a", "0000000001");
    s = s.replace("A", o2 + o2 + o2);
    s = s.replace("B", o2 + o2 + o);
    s = s.replace("C", o2 + o2);
    s = s.replace("D", o2 + o);
    s = s.replace("E", o2);
    s = s.replace("F", o);
    return s;
  }

  public static double nutationLon2(double t) {
    double a = -1.742 * t, t2 = t * t, dl = 0;
    for (int i = 0, j = NUT_B.length; i < j; i += 5) {
      dl += (NUT_B[i + 3] + a) * Math.sin(NUT_B[i] + NUT_B[i + 1] * t + NUT_B[i + 2] * t2);
      a = 0;
    }
    return dl / 100 / SECOND_PER_RAD;
  }

  public static double eLon(double t, int n) {
    t /= 10;
    double v = 0, tn = 1;
    int n1, n2;
    int m;
    double c;
    int pn = 1;
    double n0, m0 = XL0[pn + 1] - XL0[pn];
    for (int i = 0; i < 6; i++, tn *= t) {
      n1 = (int) XL0[pn + i];
      n2 = (int) XL0[pn + 1 + i];
      n0 = n2 - n1;
      if (n0 == 0) {
        continue;
      }
      if (n < 0) {
        m = n2;
      } else {
        m = (int) (3 * n * n0 / m0 + 0.5) + n1;
        if (i != 0) {
          m += 3;
        }
        if (m > n2) {
          m = n2;
        }
      }
      c = 0;
      for (int j = n1; j < m; j += 3) {
        c += XL0[j] * Math.cos(XL0[j + 1] + t * XL0[j + 2]);
      }
      v += c * tn;
    }
    v /= XL0[0];
    double t2 = t * t;
    v += (-0.0728 - 2.7702 * t - 1.1019 * t2 - 0.0996 * t2 * t) / SECOND_PER_RAD;
    return v;
  }

  public static double mLon(double t, int n) {
    int obl = XL1[0].length;
    double tn = 1;
    double v = 0;
    int j;
    double c;
    double t2 = t * t,
        t3 = t2 * t,
        t4 = t3 * t,
        t5 = t4 * t,
        tx = t - 10;
    v += (3.81034409 + 8399.684730072 * t - 3.319e-05 * t2 + 3.11e-08 * t3 - 2.033e-10 * t4) * SECOND_PER_RAD;
    v += 5028.792262 * t + 1.1124406 * t2 + 0.00007699 * t3 - 0.000023479 * t4 - 0.0000000178 * t5;
    if (tx > 0) {
      v += -0.866 + 1.43 * tx + 0.054 * tx * tx;
    }
    t2 /= 1e4;
    t3 /= 1e8;
    t4 /= 1e8;

    n *= 6;
    if (n < 0) {
      n = obl;
    }
    for (int i = 0, x = XL1.length; i < x; i++, tn *= t) {
      double[] f = XL1[i];
      int l = f.length;
      int m = (int) (n * l / obl + 0.5);
      if (i > 0) {
        m += 6;
      }
      if (m >= l) {
        m = l;
      }
      for (j = 0, c = 0; j < m; j += 6) {
        c += f[j] * Math.cos(f[j + 1] + t * f[j + 2] + t2 * f[j + 3] + t3 * f[j + 4] + t4 * f[j + 5]);
      }
      v += c * tn;
    }
    v /= SECOND_PER_RAD;
    return v;
  }

  public static double gxcSunLon(double t) {
    double t2 = t * t;
    double v = -0.043126 + 628.301955 * t - 0.000002732 * t2;
    double e = 0.016708634 - 0.000042037 * t - 0.0000001267 * t2;
    return -20.49552 * (1 + e * Math.cos(v)) / SECOND_PER_RAD;
  }

  public static double ev(double t) {
    double f = 628.307585 * t;
    return 628.332 + 21 * Math.sin(1.527 + f) + 0.44 * Math.sin(1.48 + f * 2) + 0.129 * Math.sin(5.82 + f) * t + 0.00055 * Math.sin(4.21 + f) * t * t;
  }

  public static double saLon(double t, int n) {
    return eLon(t, n) + nutationLon2(t) + gxcSunLon(t) + Math.PI;
  }

  public static double dtExt(double y, double jsd) {
    double dy = (y - 1820) / 100;
    return -20 + jsd * dy * dy;
  }

  public static double dtCalc(double y) {
    int size = DT_AT.length;
    double y0 = DT_AT[size - 2];
    double t0 = DT_AT[size - 1];
    if (y >= y0) {
      double jsd = 31;
      if (y > y0 + 100) {
        return dtExt(y, jsd);
      }
      return dtExt(y, jsd) - (dtExt(y0, jsd) - t0) * (y0 + 100 - y) / 100;
    }
    int i;
    for (i = 0; i < size; i += 5) {
      if (y < DT_AT[i + 5]) {
        break;
      }
    }
    double t1 = (y - DT_AT[i]) / (DT_AT[i + 5] - DT_AT[i]) * 10, t2 = t1 * t1, t3 = t2 * t1;
    return DT_AT[i + 1] + DT_AT[i + 2] * t1 + DT_AT[i + 3] * t2 + DT_AT[i + 4] * t3;
  }

  public static double dtT(double t) {
    return dtCalc(t / 365.2425 + 2000) / SECOND_PER_DAY;
  }

  public static double mv(double t) {
    double v = 8399.71 - 914 * Math.sin(0.7848 + 8328.691425 * t + 0.0001523 * t * t);
    v -= 179 * Math.sin(2.543 + 15542.7543 * t) + 160 * Math.sin(0.1874 + 7214.0629 * t) + 62 * Math.sin(3.14 + 16657.3828 * t) + 34 * Math.sin(4.827 + 16866.9323 * t) + 22 * Math.sin(4.9 + 23871.4457 * t) + 12 * Math.sin(2.59 + 14914.4523 * t) + 7 * Math.sin(0.23 + 6585.7609 * t) + 5 * Math.sin(0.9 + 25195.624 * t) + 5 * Math.sin(2.32 - 7700.3895 * t) + 5 * Math.sin(3.88 + 8956.9934 * t) + 5 * Math.sin(0.49 + 7771.3771 * t);
    return v;
  }

  public static double saLonT(double w) {
    double v = 628.3319653318;
    double t = (w - 1.75347 - Math.PI) / v;
    v = ev(t);
    t += (w - saLon(t, 10)) / v;
    v = ev(t);
    t += (w - saLon(t, -1)) / v;
    return t;
  }

  public static double msaLon(double t, int mn, int sn) {
    return mLon(t, mn) + (-3.4E-6) - (eLon(t, sn) + gxcSunLon(t) + Math.PI);
  }

  public static double msaLonT(double w) {
    double v = 7771.37714500204;
    double t = (w + 1.08472) / v;
    t += (w - msaLon(t, 3, 3)) / v;
    v = mv(t) - ev(t);
    t += (w - msaLon(t, 20, 10)) / v;
    t += (w - msaLon(t, -1, 60)) / v;
    return t;
  }

  public static double saLonT2(double w) {
    double v = 628.3319653318;
    double t = (w - 1.75347 - Math.PI) / v;
    t -= (0.000005297 * t * t + 0.0334166 * Math.cos(4.669257 + 628.307585 * t) + 0.0002061 * Math.cos(2.67823 + 628.307585 * t) * t) / v;
    t += (w - eLon(t, 8) - Math.PI + (20.5 + 17.2 * Math.sin(2.1824 - 33.75705 * t)) / SECOND_PER_RAD) / v;
    return t;
  }

  public static double msaLonT2(double w) {
    double v = 7771.37714500204;
    double t = (w + 1.08472) / v;
    double t2 = t * t;
    t -= (-0.00003309 * t2 + 0.10976 * Math.cos(0.784758 + 8328.6914246 * t + 0.000152292 * t2) + 0.02224 * Math.cos(0.18740 + 7214.0628654 * t - 0.00021848 * t2) - 0.03342 * Math.cos(4.669257 + 628.307585 * t)) / v;
    t2 = t * t;
    double l = mLon(t, 20) - (4.8950632 + 628.3319653318 * t + 0.000005297 * t2 + 0.0334166 * Math.cos(4.669257 + 628.307585 * t) + 0.0002061 * Math.cos(2.67823 + 628.307585 * t) * t + 0.000349 * Math.cos(4.6261 + 1256.61517 * t) - 20.5 / SECOND_PER_RAD);
    v = 7771.38 - 914 * Math.sin(0.7848 + 8328.691425 * t + 0.0001523 * t2) - 179 * Math.sin(2.543 + 15542.7543 * t) - 160 * Math.sin(0.1874 + 7214.0629 * t);
    t += (w - l) / v;
    return t;
  }

  public static double qiHigh(double w) {
    double t = saLonT2(w) * 36525;
    t = t - dtT(t) + ONE_THIRD;
    double v = ((t + 0.5) % 1) * SECOND_PER_DAY;
    if (v < 1200 || v > SECOND_PER_DAY - 1200) {
      t = saLonT(w) * 36525 - dtT(t) + ONE_THIRD;
    }
    return t;
  }

  public static double shuoHigh(double w) {
    double t = msaLonT2(w) * 36525;
    t = t - dtT(t) + ONE_THIRD;
    double v = ((t + 0.5) % 1) * SECOND_PER_DAY;
    if (v < 1800 || v > SECOND_PER_DAY - 1800) {
      t = msaLonT(w) * 36525 - dtT(t) + ONE_THIRD;
    }
    return t;
  }

  public static double qiLow(double w) {
    double v = 628.3319653318;
    double t = (w - 4.895062166) / v;
    t -= (53 * t * t + 334116 * Math.cos(4.67 + 628.307585 * t) + 2061 * Math.cos(2.678 + 628.3076 * t) * t) / v / 10000000;
    double n = 48950621.66 + 6283319653.318 * t + 53 * t * t + 334166 * Math.cos(4.669257 + 628.307585 * t) + 3489 * Math.cos(4.6261 + 1256.61517 * t) + 2060.6 * Math.cos(2.67823 + 628.307585 * t) * t - 994 - 834 * Math.sin(2.1824 - 33.75705 * t);
    t -= (n / 10000000 - w) / 628.332 + (32 * (t + 1.8) * (t + 1.8) - 20) / SECOND_PER_DAY / 36525;
    return t * 36525 + ONE_THIRD;
  }

  public static double shuoLow(double w) {
    double v = 7771.37714500204;
    double t = (w + 1.08472) / v;
    t -= (-0.0000331 * t * t + 0.10976 * Math.cos(0.785 + 8328.6914 * t) + 0.02224 * Math.cos(0.187 + 7214.0629 * t) - 0.03342 * Math.cos(4.669 + 628.3076 * t)) / v + (32 * (t + 1.8) * (t + 1.8) - 20) / SECOND_PER_DAY / 36525;
    return t * 36525 + ONE_THIRD;
  }

  public static double calcShuo(double jd) {
    int size = SHUO_KB.length;
    double d = 0;
    int pc = 14, i;
    jd += 2451545;
    double f1 = SHUO_KB[0] - pc, f2 = SHUO_KB[size - 1] - pc, f3 = 2436935;
    if (jd < f1 || jd >= f3) {
      d = Math.floor(shuoHigh(Math.floor((jd + pc - 2451551) / 29.5306) * PI_2) + 0.5);
    } else if (jd >= f1 && jd < f2) {
      for (i = 0; i < size; i += 2) {
        if (jd + pc < SHUO_KB[i + 2]) {
          break;
        }
      }
      d = SHUO_KB[i] + SHUO_KB[i + 1] * Math.floor((jd + pc - SHUO_KB[i]) / SHUO_KB[i + 1]);
      d = Math.floor(d + 0.5);
      if (d == 1683460) {
        d++;
      }
      d -= 2451545;
    } else if (jd >= f2) {
      d = Math.floor(shuoLow(Math.floor((jd + pc - 2451551) / 29.5306) * PI_2) + 0.5);
      int from = (int) ((jd - f2) / 29.5306);
      String n = SB.substring(from, from + 1);
      if ("1".equals(n)) {
        d += 1;
      } else if ("2".equals(n)) {
        d -= 1;
      }
    }
    return d;
  }

  public static double calcQi(double jd) {
    int size = QI_KB.length;
    double d = 0;
    int pc = 7, i;
    jd += 2451545;
    double f1 = QI_KB[0] - pc, f2 = QI_KB[size - 1] - pc, f3 = 2436935;
    if (jd < f1 || jd >= f3) {
      d = Math.floor(qiHigh(Math.floor((jd + pc - 2451259) / 365.2422 * 24) * Math.PI / 12) + 0.5);
    } else if (jd >= f1 && jd < f2) {
      for (i = 0; i < size; i += 2) {
        if (jd + pc < QI_KB[i + 2]) {
          break;
        }
      }
      d = QI_KB[i] + QI_KB[i + 1] * Math.floor((jd + pc - QI_KB[i]) / QI_KB[i + 1]);
      d = Math.floor(d + 0.5);
      if (d == 1683460) {
        d++;
      }
      d -= 2451545;
    } else if (jd >= f2) {
      d = Math.floor(qiLow(Math.floor((jd + pc - 2451259) / 365.2422 * 24) * Math.PI / 12) + 0.5);
      int from = (int) ((jd - f2) / 365.2422 * 24);
      String n = QB.substring(from, from + 1);
      if ("1".equals(n)) {
        d += 1;
      } else if ("2".equals(n)) {
        d -= 1;
      }
    }
    return d;
  }

  public static double qiAccurate(double w) {
    double t = saLonT(w) * 36525;
    return t - dtT(t) + ONE_THIRD;
  }

  public static double qiAccurate2(double jd) {
    double d = Math.PI / 12;
    double w = Math.floor((jd + 293) / 365.2422 * 24) * d;
    double a = qiAccurate(w);
    if (a - jd > 5) {
      return qiAccurate(w - d);
    }
    return a - jd < -5 ? qiAccurate(w + d) : a;
  }
}
